Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales
✍ Scribed by Ravi P. Agarwal; Donal O’regan; S. H. Saker
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 220 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1598-5865
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📜 SIMILAR VOLUMES
Interval oscillation criteria are established for a second-order nonlinear dynamic equation on time scales by utilizing a generalized Riccati technique and the Young inequality. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.
We present new oscillation criteria for the second order nonlinear perturbed differential equations. These criteria are of a high degree of generality and they extend and unify a number of existing results.
In this paper, we discuss the oscillatory behavior of a certain nonlinear perturbed dynamic equation on time scales. We establish some new oscillation criteria for such dynamic equations and supply examples. (~) 2004 Elsevier Ltd. All rights reserved.